Schedule of lectures of F7ABBLAD (semester B221)

Week Par Date Time Hours Room Subject Teacher
1 1 Sep 19, 2022 14:00 2 B230 Introduction to differential calculus -Number sets, sequences and their properties - monotony, boundedness. Supremum, infimum, maximum, minimum, and a limit of a sequence.. RNDr. Eva Feuerstein, Ph.D.
2 1 Sep 26, 2022 14:00 2 B230 Real function of one real variable, elementary functions review, operations on functions, properties of a function, composite functions, inverse function, limit of a function, one sided limits. RNDr. Eva Feuerstein, Ph.D.
3 1 Oct 3, 2022 14:00 2 B230 Application of a limit, asymptotes of a function, continuity of a function, derivative of a function, rules for differentiation. RNDr. Eva Feuerstein, Ph.D.
4 1 Oct 10, 2022 14:00 2 B230 Tangent and normal lines of a function, differential of a function, derivative of composite functions, L'Hospital’s rule. RNDr. Eva Feuerstein, Ph.D.
5 1 Oct 17, 2022 14:00 2 B230 Higher order derivatives, function monotonicity, local extremes, concavity/convexity of a function, points of inflection, investigation of function behavior. RNDr. Eva Feuerstein, Ph.D.
6 1 Oct 24, 2022 14:00 2 B230 Taylor Polynomial. Approximation of a function by Taylor polynomial. RNDr. Eva Feuerstein, Ph.D.
7 1 Oct 31, 2022 14:00 2 B230 Number series, convergence, divergence, geometric series, alternating series. Criteria of convergence. RNDr. Eva Feuerstein, Ph.D.
8 1 Nov 7, 2022 14:00 2 B230 Linear algebra – Matrix intro. Gaussian elimination for solving a system of linear algebraic equations. Ing. Václav Petrák, Ph.D.
9 1 Nov 14, 2022 14:00 2 B230 Linear combination of vectors, linear dependence or independence of a set of vectors. Span of a set of vectors, vector space, vector subspace, basis and dimension of vector space/subspace. Ing. Václav Petrák, Ph.D.
10 1 Nov 21, 2022 14:00 2 B230 Matrices, various examples of matrices, rank of a matrix, matrix operations, square matrices and properties, inverse of a matrix. Ing. Václav Petrák, Ph.D.
11 1 Nov 28, 2022 14:00 2 B230 Determinant of a square matrix, Sarrus’ rule, Laplace expansion with respect to a row or to a column. Gauss-Jordan elimination for calculation an inverse of a given matrix. Ing. Václav Petrák, Ph.D.
12 1 Dec 5, 2022 14:00 2 B230 Matrix equations. Solvability of a linear algebraic equation system (LAES), Frobenius theorem, calculation of all solutions of LAES. Cramer’s rule for solving LAES with regular matrix. Ing. Václav Petrák, Ph.D.
13 1 Dec 12, 2022 14:00 2 B230 Applications of Linear Algebra and Differential Calculus in solving real life problems. Part 1 Autonomous systems and Eigenvalues and eigenvectors Ing. Václav Petrák, Ph.D.
14 1 Jan 9, 2023 14:00 2 B230 Applications of Linear Algebra and Differential Calculus in solving real life problems. Part 2 Conics and quadrics and their invariants and classification using determinants. Ing. Václav Petrák, Ph.D.
Total 28